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Finding the Fourth Proportional to 145,172.79, 217,821.56 and 75,101.31

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Solution

The fourth proportional to 145,172.79, 217,821.56 and 75,101.31 is: 112,684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,172.79 : 217,821.56 = 75,101.31 : x
  2. Step 2: Convert to fraction form
    145,172.79/217,821.56 = 75,101.31/x
  3. Step 3: Cross multiply
    145,172.79x = 217,821.56 × 75,101.31
  4. Step 4: Simplify right side
    145,172.79x = 16,358,684,126.74
  5. Step 5: Solve for x
    x = 16,358,684,126.74/145,172.79
  6. Step 6: Final answer
    x = 112,684.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.